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21,688

21,688 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
25
Digit product
768
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
88,612
Recamán's sequence
a(40,463) = 21,688
Square (n²)
470,369,344
Cube (n³)
10,201,370,332,672
Divisor count
8
σ(n) — sum of divisors
40,680
φ(n) — Euler's totient
10,840
Sum of prime factors
2,717

Primality

Prime factorization: 2 3 × 2711

Nearest primes: 21,683 (−5) · 21,701 (+13)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 2711 · 5422 · 10844 (half) · 21688
Aliquot sum (sum of proper divisors): 18,992
Factor pairs (a × b = 21,688)
1 × 21688
2 × 10844
4 × 5422
8 × 2711
First multiples
21,688 · 43,376 (double) · 65,064 · 86,752 · 108,440 · 130,128 · 151,816 · 173,504 · 195,192 · 216,880

Sums & aliquot sequence

As consecutive integers: 1,348 + 1,349 + … + 1,363
Aliquot sequence: 21,688 18,992 17,836 21,364 22,526 16,114 11,534 6,226 3,998 2,002 2,030 2,290 1,850 1,684 1,270 1,034 694 — unresolved within range

Representations

In words
twenty-one thousand six hundred eighty-eight
Ordinal
21688th
Binary
101010010111000
Octal
52270
Hexadecimal
0x54B8
Base64
VLg=
One's complement
43,847 (16-bit)
In other bases
ternary (3) 1002202021
quaternary (4) 11102320
quinary (5) 1143223
senary (6) 244224
septenary (7) 120142
nonary (9) 32667
undecimal (11) 15327
duodecimal (12) 10674
tridecimal (13) 9b44
tetradecimal (14) 7c92
pentadecimal (15) 665d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καχπηʹ
Mayan (base 20)
𝋢·𝋮·𝋤·𝋨
Chinese
二萬一千六百八十八
Chinese (financial)
貳萬壹仟陸佰捌拾捌
In other modern scripts
Eastern Arabic ٢١٦٨٨ Devanagari २१६८८ Bengali ২১৬৮৮ Tamil ௨௧௬௮௮ Thai ๒๑๖๘๘ Tibetan ༢༡༦༨༨ Khmer ២១៦៨៨ Lao ໒໑໖໘໘ Burmese ၂၁၆၈၈

Digit at this position in famous constants

π — Pi (π)
Digit 21,688 = 2
e — Euler's number (e)
Digit 21,688 = 2
φ — Golden ratio (φ)
Digit 21,688 = 1
√2 — Pythagoras's (√2)
Digit 21,688 = 1
ln 2 — Natural log of 2
Digit 21,688 = 9
γ — Euler-Mascheroni (γ)
Digit 21,688 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21688, here are decompositions:

  • 5 + 21683 = 21688
  • 41 + 21647 = 21688
  • 71 + 21617 = 21688
  • 89 + 21599 = 21688
  • 101 + 21587 = 21688
  • 131 + 21557 = 21688
  • 167 + 21521 = 21688
  • 197 + 21491 = 21688

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-54B8
U+54B8
Other letter (Lo)

UTF-8 encoding: E5 92 B8 (3 bytes).

Hex color
#0054B8
RGB(0, 84, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.84.184.

Address
0.0.84.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.84.184

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 21688 first appears in π at position 5,151 of the decimal expansion (the 5,151ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.